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Finding the Third Proportional to 10,810.50 and 23,515

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Solution

The third proportional to 10,810.50 and 23,515 is: 51,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.50 : 23,515 = 23,515 : x
  2. Step 2: Convert to fraction form
    10,810.50/23,515 = 23,515/x
  3. Step 3: Cross multiply
    10,810.50x = 23,515 × 23,515
  4. Step 4: Simplify right side
    10,810.50x = 552,955,225
  5. Step 5: Solve for x
    x = 552,955,225/10,810.50
  6. Step 6: Final answer
    x = 51,149.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.